An ignition coil apparatus for an internal combustion engine with a cylinder having first and second spark plugs can reliably detect an ionic current without discharging a bias voltage even at the start of supplying a primary current. The apparatus includes a coil member with primary and secondary coils. The secondary coil has first and second ends connected to the spark plugs through high voltage output terminals, respectively. A first diode has its anode connected to a capacitor, and its cathode connected between the first end of the secondary coil, at which a high positive voltage is generated upon interruption of the primary current, and a high voltage output terminal at a secondary coil first end side. A second diode has its anode connected to the secondary coil first end, and its cathode connected to a junction between the first diode and the high voltage output terminal.
